Quantitative Aptitude - Arithmetic Ability Questions

Q:

The pair of linear equations 3x + y = 1 and px + 2y = 5 has no finite solution if

A) p>=6 B) p = 6
C) 0 < p < 6 D) p = 0
 
Answer & Explanation Answer: B) p = 6

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Filed Under: Simplification
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Q:

The diagonals of 2 squares M and N are in the ratio 2:1. The ratio of their areas is

A) 1:2 B) 2:1
C) 1:4 D) 4:1
 
Answer & Explanation Answer: D) 4:1

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Filed Under: Area
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Q:

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume pf the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is

A) 31.5 units B) 36 units
C) 27 units D) 18 units
 
Answer & Explanation Answer: B) 36 units

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Filed Under: Volume and Surface Area
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Q:

The square of 11111 is

A) 1234321 B) 1223311
C) 123454321 D) 321231
 
Answer & Explanation Answer: C) 123454321

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Filed Under: Square Roots and Cube Roots
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Q:

If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.

A) 27720 sq cm B) 4620 sq cm
C) 6930 sq cm D) 13860 sq cm
 
Answer & Explanation Answer: D) 13860 sq cm

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Filed Under: Volume and Surface Area
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Q:

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

A) 12 cm B) 20 cm
C) 14 cm D) 16 cm
 
Answer & Explanation Answer: B) 20 cm

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Filed Under: Volume and Surface Area
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Q:

The point of the intersection of three medians is known as the ____________.

A) circum-centre B) in-center
C) centroid D) orthocenter
 
Answer & Explanation Answer: C) centroid

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Filed Under: Volume and Surface Area
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Q:

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

A) 7/8 B) 23/8
C) 13/8 D) 15/8
 
Answer & Explanation Answer: D) 15/8

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Filed Under: Pipes and Cistern
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